# Truth Values of Compound Sentences Worksheets

What Are the Truth Values of Open Sentences? You may be familiar with statements or expressions which are definite values; either true or false. But there is third kind of statement which has no definite value, or its value is hard to find; it can be true for someone and false for someone else. For example: Spring is the best season among all. Now this expression might be true for some people but there are people who like the Winter season more, and for them this statement becomes false. There are other types of expressions whose truth value is almost impossible to determine. These Open Sentences require additional information in order to give the true value. For example: x + 5 = 20. These types of sentences have a variable which has to be replaced with a known value. To determine the truth value of these Open Sentences, we have to set a domain from which the value can be selected. We set a domain for the above example as {5, 10, 15, 20}. Now for the value 10 from the set, the statement will become false, but if the variable x is replaced by 15, the truth value of this statement will be true.

• ### Basic Lesson

Demonstrates the concept of determining truth values of Open Sentences. Determine whether the following sentence is TRUE, FALSE, or OPEN.

• ### Intermediate Lesson

Shows students how to determine truth values of Open Sentences. Use the domain {triangle, rectangle, square, parallelogram, rhombus, trapezoid} to find the solution set for the following open sentences.

• ### Independent Practice 1

Contains a mixture of problems using Open Sentences. Students must determine the truth value. Use the domain {triangle, rectangle, square, parallelogram, rhombus, trapezoid} to find the solution set for the following open sentences.

• ### Independent Practice 2

Features truth value questions with assorted concepts. Students concentrate on Open Sentences.

• ### Homework Worksheet

Features 6 Open Sentences problems; students must determine the truth-value.

• ### Skill Quiz

10 truth value questions that include Open Sentences. Scoring matrix is provided.

• ### Homework and Quiz Answer Key

Answers for the homework and quiz.